Lesson Plan of H CF upwards to 2 digits using Prime Factorization Method
Mathematics Grade V
Students’ Learning Outcomes
· Find HCF of 3 numbers, upwards to 2 digits, using prime factorization method.
Information for Teacher
· H.C.F.: The highest mutual factors (H.C.F.) of 2 or to a greater extent than given numbers are the greatest which divides each of given numbers exactly.
· Factorization way to limited a pose out equally the production of its factors. These factors are either composite numbers or prime numbers. (Except that 0 as well as 1 are neither prime nor composite).
· Prime factorization way to limited a pose out equally the production of its prime factors.
E.g. 12 = 2x 2 x 3
o Factors shared past times 2 or to a greater extent than numbers are called mutual factors. E. g.
o Because ‘2’ is mutual inward factors of both of these numbers thus it is called mutual factor.
o The production of 2 or to a greater extent than mutual prime factors is the greatest number/factor, which is called Greatest Common Divisor (GCD) or highest Common Factor (H CF).
o Highest mutual constituent ‘H CF’ of 2 or to a greater extent than numbers is the greatest pose out that divides each 1 of given numbers exactly.
o Method of prime factorization for finding H CF of 2 or to a greater extent than numbers.
Step 1:
o Express each 1 of the given pose out equally the production of prime factors.
Step 2:
o Identify the prime factors which are mutual inward all factorization.
Step 3:
o Now multiply all these prime factors which are common.
o Thus a number/factor obtained is called (GCD) or highest Common constituent (H CF).
· Find the H CF of 16, 36, as well as 52 using factorization method.
·
· In this instance ‘4’ is the H CF or GCD which divides 16, 36, as well as 52 exactly.
· During instruction the lesson, instructor should trouble organisation amongst textbook, when as well as where necessary inward all steps.
Material / Resources
Board, marker/chalk, duster, handbasket or box, newspaper slips having topic relevant questions on it, textbook
Worm upwards activeness
· Ask the students:
o What are prime numbers?
(Expected response: such numbers which are divisible past times 1 as well as itself)
o What are composite numbers?
(Expected response: such numbers receive got at to the lowest degree 1 to a greater extent than constituent other than 1 as well as itself)
o Which are prime numbers?
(Expected response: write on board such equally 2, 3, 5, 7, 11, 13, 17 etc.)
o Which are composite numbers?
(Expected response: write on board such equally 4, 6, 8, 9, 10, 12, 14, 15, sixteen etc.)
o Why it is prime or composite number? (by writing whatsoever number)
· Check students agreement past times talking give-and-take along amongst few examples of numbers.
· Also repeat the term ‘Factor’ every fourth dimension yous verbalise over almost a number. For instance ‘12’ is composite because it has factors to a greater extent than than one, (which are 2, 3, 4, half dozen as well as 12)
o What are ‘Factors’?
(Expected response: the pose out which divides whatsoever pose out just is called its factor)
o What are prime factors?
(Expected response: such factors of whatsoever pose out which are prime, are called prime factors)
o Which are the prime factors of pose out 14?
(Expected response: 2, 7)
o Which are the composite factors of pose out 18?
(Expected response: 6, 9, 18)
o What do yous hateful past times prime factorization?
o What volition survive the prime factorization of pose out 16?
(Expected response: 2 x2 x 2 x 2)
o What do yous know almost H CF?
(Expected response: H CF of 2 or to a greater extent than numbers is the greatest pose out that divides each 1 of them exactly)
o What does H CF stand upwards for?
(Expected response: Highest Common Factor)
Development
Activity 1
· Ask students to move inward pairs.
· Ask students to abide by prime factors of 24 as well as write them equally product.
· Now inquire students to abide by prime factors of 48 as well as write them equally product.
· Now inquire them to abide by H CF.
· Let the students recall themselves.
· Collect answers from unlike students.
· Now demonstrate the method equally explained inward ‘information for teacher’
· Now inquire students to abide by H CF of 84 as well as 28:
·
· Now give students, to a greater extent than two- digit questions for practice.
Activity 2
· Write whatsoever 3 numbers on board e.g. 27, 45, 63
· Now split students inward groups
· Ask students to abide by H CF according to the method learn
· Don’t say the students, allow them think
· Collect respond from groups
· Now solve this enquiry on board as well as say the students, the method of finding H CF of 3 numbers
· For practice, give students; farther two-digit numbers to solve inward groups
· Conclude that nosotros receive got learned the method of finding H CF of three-digit numbers through prime factorization
Activity 3
· Once yous meet that they are comfortable amongst finding H CF through factorization inward pairs, assign them private questions
· For instance assign enquiry no. 1 to pupil one, enquiry no. 2 to 2nd pupil as well as thus on
· It depends upon the pose out of questions
· You may restart from enquiry pose out 1, 2, 3 etc. when all questions finish
· Allocate fourth dimension xv minutes
· Now inquire students to portion their move amongst each other as well as right mistakes
Activity 4
· Write unlike questions on board
· Ask students to abide by H CF according to the method learn
· Allocate fourth dimension xv minutes
· Now invite unlike students on board 1 past times 1 as well as inquire them to solve as well as explain
· Invite such students on board who are less participate inward the class
· At the end, appreciate students through clapping
Sum upwards / Conclusion
· Factorization way to limited a pose out equally the production of its factors. These factors are either composite numbers or prime numbers (except that 0 as well as 1 are either prime nor composite)
· Prime factorization way to limited a pose out equally the production of its prime factors.
· E.g. 12 = 2 x 2 x 3
· Factors shared past times 2 or to a greater extent than numbers are called mutual factors e.g.
· Because ‘2’ is mutual inward factors of both of these numbers thus it is called mutual factor
· The production of 2 or to a greater extent than mutual prime factors is the greatest number/factor, which is called Greatest Common Divisor (GCD) or Highest mutual Factor (H CF)
· Highest Common Factor ‘H CF’ of 2 or to a greater extent than numbers is the greatest pose out that divides each 1 of given numbers exactly
· Tell the students, the method of finding H CF through prime factorization as well as solve few questions on the board
Assessment
· Put newspaper slips of questions inward a handbasket or box as well as shuffle it
· Go to unlike students, peculiarly those who are less participate inward the class
· Ask each pupil to alternative the skid as well as read the enquiry aloud
· Give them fourth dimension to recall as well as write answer
· After this students denote their respond 1 past times one
· The whole degree is the judge
· If the respond is correct, they volition THUMBS UP, if respond is incorrect as well as thus THUMBS DOWN
· This volition assistance yous banking concern check how many of the students empathize this concept
· Sample questions for writing on slips as such:
o What are factors?
o What is greatest mutual constituent called?
o What are mutual factors?
o How do yous abide by the highest mutual constituent of 2 or 3 numbers?
o How do yous abide by the H CF of 12 as well as 24?
o Find the H CF of 76, 56, as well as twenty through prime factorization
Follow up
· Ask students to write whatsoever 3 two-digit numbers as well as abide by H CF through prime factorization
· Ask students to brand 3 such questions as well as abide by H CF through prime factorization
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